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Finding the Fourth Proportional to 25,808, 38,729.28 and 9,392

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Solution

The fourth proportional to 25,808, 38,729.28 and 9,392 is: 14,094.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,808 : 38,729.28 = 9,392 : x
  2. Step 2: Convert to fraction form
    25,808/38,729.28 = 9,392/x
  3. Step 3: Cross multiply
    25,808x = 38,729.28 × 9,392
  4. Step 4: Simplify right side
    25,808x = 363,745,397.76
  5. Step 5: Solve for x
    x = 363,745,397.76/25,808
  6. Step 6: Final answer
    x = 14,094.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.